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Finding the Third Proportional to 13,341 and 19,323

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Solution

The third proportional to 13,341 and 19,323 is: 27,987.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,341 : 19,323 = 19,323 : x
  2. Step 2: Convert to fraction form
    13,341/19,323 = 19,323/x
  3. Step 3: Cross multiply
    13,341x = 19,323 × 19,323
  4. Step 4: Simplify right side
    13,341x = 373,378,329
  5. Step 5: Solve for x
    x = 373,378,329/13,341
  6. Step 6: Final answer
    x = 27,987.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.